Ideas are not then genuine ideas unless they are tools in a reflective examination which tends to solve a problem. Suppose it is a question of having the pupil grasp the idea of the sphericity of the earth. This is different from teaching him its sphericity as a fact. He may be shown (or reminded of) a ball or a globe, and be told that the earth is round like those things; he may then be made to repeat that statement day after day till the shape of the earth and the shape of the ball are welded together in his mind. But he has not thereby acquired any idea of the earth's sphericity; at most, he has had a certain image of a sphere and has finally managed to image the earth after the analogy of his ball image. To grasp sphericity as an idea, the pupil must first have realized certain perplexities or confusing features in observed facts and have had the idea of spherical shape suggested to him as a possible way of accounting for the phenomena in question. Only by use as a method of interpreting data so as to give them fuller meaning does sphericity become a genuine idea. There may be a vivid image and no idea; or there may be a fleeting, obscure image and yet an idea, if that image performs the function of instigating and directing the observation and relation of facts.
Ideas furnish the only alternative to "hit or miss" methods
Logical ideas are like keys which are shaping with reference to opening a lock. Pike, separated by a glass partition from the fish upon which they ordinarily prey, will—so it is said—butt their heads against the glass until it is literally beaten into them that they cannot get at their food. Animals learn (when they learn at all) by a "cut and try" method; by doing at random first one thing and another thing and then preserving the things that happen to succeed. Action directed consciously by ideas—by suggested meanings accepted for the sake of experimenting with them—is the sole alternative both to bull-headed stupidity and to learning bought from that dear teacher—chance experience.
They are methods of indirect attack
It is significant that many words for intelligence suggest the idea of circuitous, evasive activity—often with a sort of intimation of even moral obliquity. The bluff, hearty man goes straight (and stupidly, it is implied) at some work. The intelligent man is cunning, shrewd (crooked), wily, subtle, crafty, artful, designing—the idea of indirection is involved.[20] An idea is a method of evading, circumventing, or surmounting through reflection obstacles that otherwise would have to be attacked by brute force. But ideas may lose their intellectual quality as they are habitually used. When a child was first learning to recognize, in some hesitating suspense, cats, dogs, houses, marbles, trees, shoes, and other objects, ideas—conscious and tentative meanings—intervened as methods of identification. Now, as a rule, the thing and the meaning are so completely fused that there is no judgment and no idea proper, but only automatic recognition. On the other hand, things that are, as a rule, directly apprehended and familiar become subjects of judgment when they present themselves in unusual contexts: as forms, distances, sizes, positions when we attempt to draw them; triangles, squares, and circles when they turn up, not in connection with familiar toys, implements, and utensils, but as problems in geometry.
§ 3. Analysis and Synthesis
Judging clears up things: analysis
Through judging confused data are cleared up, and seemingly incoherent and disconnected facts brought together. Things may have a peculiar feeling for us, they may make a certain indescribable impression upon us; the thing may feel round (that is, present a quality which we afterwards define as round), an act may seem rude (or what we afterwards classify as rude), and yet this quality may be lost, absorbed, blended in the total value of the situation. Only as we need to use just that aspect of the original situation as a tool of grasping something perplexing or obscure in another situation, do we abstract or detach the quality so that it becomes individualized. Only because we need to characterize the shape of some new object or the moral quality of some new act, does the element of roundness or rudeness in the old experience detach itself, and stand out as a distinctive feature. If the element thus selected clears up what is otherwise obscure in the new experience, if it settles what is uncertain, it thereby itself gains in positiveness and definiteness of meaning. This point will meet us again in the following chapter; here we shall speak of the matter only as it bears upon the questions of analysis and synthesis.
Mental analysis is not like physical division